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Finding the Third Proportional to 240,192 and 359,424

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Solution

The third proportional to 240,192 and 359,424 is: 537,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,192 : 359,424 = 359,424 : x
  2. Step 2: Convert to fraction form
    240,192/359,424 = 359,424/x
  3. Step 3: Cross multiply
    240,192x = 359,424 × 359,424
  4. Step 4: Simplify right side
    240,192x = 129,185,611,776
  5. Step 5: Solve for x
    x = 129,185,611,776/240,192
  6. Step 6: Final answer
    x = 537,843.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.